Abstract
A new analytical model for the current–voltage characteristic of a resonant tunneling diode (RTD) is presented herein, being derived from the basic integral of the Tsu–Esaki equation. The model is physics based and developed as a function of material parameters such as the effective mass, barrier heights, and Fermi levels as well as geometrical parameters such as the barrier height and well width. The material chosen for the double-barrier RTD structure is AlGaAs/GaAs. The dependence of the peak transmission on the applied voltage and the scattering effect in the active region, which are neglected in previous models, are also taken into account. The model is implemented and validated using numerical simulations, revealing that the resulting electrical characteristic is in good agreement with numerical simulations using the Green’s function formalism.
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Goldhaber-Gordon, D., Montemarlo, M.S., Love, J.C., Optiteck, G.J., Ellenbogen, J.: “Overview of nanoelectronic devices. Proc. IEEE 85, 521–540 (1997)
Ling, J.: Resonant tunneling diodes: theory of operation and applications, vol. 14627. University of Rochester, NY (2006)
Akeyoshi, T., Matsuzaki, H., Itoh, T., Waho, T., Osaka, J., Yamamoto, M.: Applications of resonant tunneling diodes to high-speed digital ICs. Proc. IEEE 87, 405–410 (1999)
Lake, R., Datta, S.: Nonequilibrium Green’s function method applied to double barrier resonant tunneling diodes. Phys. Rev. B 45, 6670–6685 (1992)
Jensen, K.L., Buot, F.A.: Effects of spacer layers on the Wigner function simulation resonant tunneling diodes. J. Appl. Phys. 65, 5248–8061 (1989)
Frensley, W.R.: Wigner function model of a resonant tunneling semiconductor device. Phys. Rev. B 36, 1570–1580 (1983)
Bohm, D.: “A suggested interpretation of the quantum theory in terms of hidden variables. Phys. Rev. 85, 166–179 (1952)
Sun, J.P., et al.: Resonant tunneling diodes: model s and properties. Proc. IEEE 86, 641–661 (1998)
Yan, Z., Deen, M.J.: New RTD large-signal DC model suitable for PSPICE. IEEE Trans. Comput. Aided Des. Integr. Circ. Syst. 14, 167–172 (1995)
Charles, E., Chang, P.M., Asbeck, K.-C.W., Elliott, R.B.: Analysis of heterojunction bipolar transistor/resonant tunneling diode logic for low power and high-speed digital applications. IEEE Trans. Electron Devices 40, 685–690 (1993)
Schulman, J.N., De Los Santos, H.J.: Physics-based RTD current–voltage equation. IEEE Electron Device Lett. 17, 220–222 (1996)
Buccafurri, E., Clerc, R., Calmon, F., Pala, M., Poncet, A., Ghibaudo, G.: Performances comparison of Si and GaAs based resonant tunneling diodes. Curr. Top. Solid State Phys. 6, 1408–1411 (2009)
Vladimir, M., &Artem, F.: Simplified Analytical Model of RTD. In 32nd International Spring Seminar on Electronics Technology (2009).
Encomendero, J., Protasenko, V., Sensale-Rodriguez, B., Fay, P., Rana, F., Jena, D., Xing, H.G.: Broken symmetry effects due to polarization on resonant tunneling transport in double-barrier nitride heterostructures. Phys. Rev. Appl. 11, 034032 (2019)
Weil, T., Vinter, B.: Equivalence between resonant tunneling and sequential tunneling in double barrier diodes. Appl. Phys. Lett. 50, 1281–1283 (1987)
Harada, N., Kuroda, S.: Lifetime of resonant state in a resonant tunneling system. J. Appl. Phys. 25, L871–L873 (1986)
Sun, J., Haddad, G., Mazumder, P., Schulman, J.: Resonant tunneling diodes: models and properties. Proc IEEE. 86, 641–660 (1998)
Landau, L.D., Lifshitz, E.M. : Quantum mechanics, non-relativistic theory, theoretical physics, 2nd edition (1989).
Tsu, R., Esaki, L.: Tunneling in a finite superlattice. Appl. Phys. Lett. 22, 562–564 (1973)
Hong-Hyun, P., et al.: Resonant tunneling diode simulation with NEGF,” Available online at https://nanohub.org/tools/rtdnegf.
Klimeck, G., Lake, R.K., Chris-Bowen, R., Frensley, W.R., Moise, T.: Quantum device simulation with a generalized tunneling formula. Appl. Phys. Lett. 67, 2539–2541 (1995)
Ferry, D.K., Goodnick, S.M.: Transport in Nanostructures. Cambridge studies in semiconductor physics and microelectronics engineering (2005).
Sollner, T.C.L.G., Tannenwald, P.E., Peck, D.D., Goodhue, W.D.: Quantum well oscillators. Appl. Phys. Lett. 45, 1319–1321 (1984)
T. Figielski, A.et al.: Effect of the device size on the performance of resonant-tunneling diodes. In International Symposium on Electron Devices for Microwave and Optoelectronic Application (EDMO), Cat. No.01TH8567: 55–59, Austria (2001).
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Yadav, S.L., Najeeb-ud-din, H. A simple analytical model for the resonant tunneling diode based on the transmission peak and scattering effect. J Comput Electron 19, 1061–1067 (2020). https://doi.org/10.1007/s10825-020-01531-4
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DOI: https://doi.org/10.1007/s10825-020-01531-4